2281144320 has 768 divisors, whose sum is σ = 10305247680. Its totient is φ = 452984832.

The previous prime is 2281144319. The next prime is 2281144339. The reversal of 2281144320 is 234411822.

2281144320 is a `hidden beast` number, since 228 + 1 + 1 + 4 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134184952 + ... + 134184968.

Almost surely, 2^2281144320 is an apocalyptic number.

2281144320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152623840).

2281144320 is an abundant number, since it is smaller than the sum of its proper divisors (8024103360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2281144320 is a wasteful number, since it uses less digits than its factorization.

2281144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2281144320 is about 47761.3266147413. The cubic root of 2281144320 is about 1316.3890289641.

The spelling of 2281144320 in words is "two billion, two hundred eighty-one million, one hundred forty-four thousand, three hundred twenty".